Properties

Label 637.2.w.b.92.11
Level $637$
Weight $2$
Character 637.92
Analytic conductor $5.086$
Analytic rank $0$
Dimension $174$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [637,2,Mod(92,637)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(637, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([2, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("637.92");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.w (of order \(7\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(174\)
Relative dimension: \(29\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 92.11
Character \(\chi\) \(=\) 637.92
Dual form 637.2.w.b.547.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.440322 + 0.552147i) q^{2} +(-1.61690 - 0.778657i) q^{3} +(0.334060 + 1.46361i) q^{4} +(2.37681 + 1.14461i) q^{5} +(1.14189 - 0.549905i) q^{6} +(2.31524 - 1.28050i) q^{7} +(-2.22779 - 1.07285i) q^{8} +(0.137583 + 0.172524i) q^{9} +O(q^{10})\) \(q+(-0.440322 + 0.552147i) q^{2} +(-1.61690 - 0.778657i) q^{3} +(0.334060 + 1.46361i) q^{4} +(2.37681 + 1.14461i) q^{5} +(1.14189 - 0.549905i) q^{6} +(2.31524 - 1.28050i) q^{7} +(-2.22779 - 1.07285i) q^{8} +(0.137583 + 0.172524i) q^{9} +(-1.67856 + 0.808350i) q^{10} +(2.95619 - 3.70695i) q^{11} +(0.599511 - 2.62663i) q^{12} +(0.623490 - 0.781831i) q^{13} +(-0.312426 + 1.84218i) q^{14} +(-2.95180 - 3.70144i) q^{15} +(-1.13185 + 0.545068i) q^{16} +(1.44108 - 6.31378i) q^{17} -0.155839 q^{18} -2.30376 q^{19} +(-0.881269 + 3.86109i) q^{20} +(-4.74057 + 0.267664i) q^{21} +(0.745102 + 3.26451i) q^{22} +(1.64280 + 7.19756i) q^{23} +(2.76673 + 3.46937i) q^{24} +(1.22164 + 1.53189i) q^{25} +(0.157149 + 0.688516i) q^{26} +(1.10990 + 4.86280i) q^{27} +(2.64758 + 2.96084i) q^{28} +(1.37086 - 6.00614i) q^{29} +3.34348 q^{30} -3.96261 q^{31} +(1.29786 - 5.68628i) q^{32} +(-7.66631 + 3.69190i) q^{33} +(2.85159 + 3.57578i) q^{34} +(6.96855 - 0.393460i) q^{35} +(-0.206547 + 0.259001i) q^{36} +(1.84443 - 8.08099i) q^{37} +(1.01440 - 1.27201i) q^{38} +(-1.61690 + 0.778657i) q^{39} +(-4.06704 - 5.09991i) q^{40} +(6.82774 + 3.28807i) q^{41} +(1.93959 - 2.73535i) q^{42} +(8.94953 - 4.30987i) q^{43} +(6.41308 + 3.08838i) q^{44} +(0.129536 + 0.567535i) q^{45} +(-4.69747 - 2.26218i) q^{46} +(-1.41084 + 1.76914i) q^{47} +2.25450 q^{48} +(3.72064 - 5.92932i) q^{49} -1.38374 q^{50} +(-7.24635 + 9.08663i) q^{51} +(1.35258 + 0.651368i) q^{52} +(2.76595 + 12.1184i) q^{53} +(-3.17369 - 1.52837i) q^{54} +(11.2693 - 5.42702i) q^{55} +(-6.53164 + 0.368792i) q^{56} +(3.72494 + 1.79384i) q^{57} +(2.71265 + 3.40156i) q^{58} +(-6.41320 + 3.08843i) q^{59} +(4.43139 - 5.55679i) q^{60} +(-0.312745 + 1.37022i) q^{61} +(1.74482 - 2.18794i) q^{62} +(0.539454 + 0.223258i) q^{63} +(1.00166 + 1.25605i) q^{64} +(2.37681 - 1.14461i) q^{65} +(1.33718 - 5.85855i) q^{66} -2.39670 q^{67} +9.72232 q^{68} +(2.94820 - 12.9169i) q^{69} +(-2.85116 + 4.02091i) q^{70} +(3.32061 + 14.5485i) q^{71} +(-0.121415 - 0.531952i) q^{72} +(6.12664 + 7.68256i) q^{73} +(3.64974 + 4.57663i) q^{74} +(-0.782451 - 3.42814i) q^{75} +(-0.769593 - 3.37181i) q^{76} +(2.09754 - 12.3679i) q^{77} +(0.282023 - 1.23562i) q^{78} +0.0239945 q^{79} -3.31407 q^{80} +(2.13916 - 9.37228i) q^{81} +(-4.82190 + 2.32211i) q^{82} +(0.335171 + 0.420292i) q^{83} +(-1.97539 - 6.84894i) q^{84} +(10.6520 - 13.3572i) q^{85} +(-1.56100 + 6.83918i) q^{86} +(-6.89327 + 8.64389i) q^{87} +(-10.5628 + 5.08676i) q^{88} +(-10.5227 - 13.1950i) q^{89} +(-0.370400 - 0.178375i) q^{90} +(0.442391 - 2.60850i) q^{91} +(-9.98563 + 4.80883i) q^{92} +(6.40713 + 3.08551i) q^{93} +(-0.355600 - 1.55798i) q^{94} +(-5.47560 - 2.63691i) q^{95} +(-6.52616 + 8.18355i) q^{96} -7.33725 q^{97} +(1.63558 + 4.66515i) q^{98} +1.04626 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{7}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.440322 + 0.552147i −0.311355 + 0.390427i −0.912746 0.408528i \(-0.866042\pi\)
0.601391 + 0.798955i \(0.294614\pi\)
\(3\) −1.61690 0.778657i −0.933517 0.449558i −0.0956390 0.995416i \(-0.530489\pi\)
−0.837878 + 0.545858i \(0.816204\pi\)
\(4\) 0.334060 + 1.46361i 0.167030 + 0.731805i
\(5\) 2.37681 + 1.14461i 1.06294 + 0.511886i 0.881825 0.471576i \(-0.156315\pi\)
0.181116 + 0.983462i \(0.442029\pi\)
\(6\) 1.14189 0.549905i 0.466174 0.224498i
\(7\) 2.31524 1.28050i 0.875077 0.483984i
\(8\) −2.22779 1.07285i −0.787643 0.379309i
\(9\) 0.137583 + 0.172524i 0.0458610 + 0.0575079i
\(10\) −1.67856 + 0.808350i −0.530806 + 0.255623i
\(11\) 2.95619 3.70695i 0.891326 1.11769i −0.101104 0.994876i \(-0.532237\pi\)
0.992430 0.122812i \(-0.0391911\pi\)
\(12\) 0.599511 2.62663i 0.173064 0.758242i
\(13\) 0.623490 0.781831i 0.172925 0.216841i
\(14\) −0.312426 + 1.84218i −0.0834994 + 0.492344i
\(15\) −2.95180 3.70144i −0.762151 0.955707i
\(16\) −1.13185 + 0.545068i −0.282961 + 0.136267i
\(17\) 1.44108 6.31378i 0.349513 1.53132i −0.428776 0.903411i \(-0.641055\pi\)
0.778289 0.627906i \(-0.216088\pi\)
\(18\) −0.155839 −0.0367317
\(19\) −2.30376 −0.528519 −0.264259 0.964452i \(-0.585127\pi\)
−0.264259 + 0.964452i \(0.585127\pi\)
\(20\) −0.881269 + 3.86109i −0.197058 + 0.863367i
\(21\) −4.74057 + 0.267664i −1.03448 + 0.0584090i
\(22\) 0.745102 + 3.26451i 0.158856 + 0.695995i
\(23\) 1.64280 + 7.19756i 0.342546 + 1.50079i 0.793679 + 0.608337i \(0.208163\pi\)
−0.451132 + 0.892457i \(0.648980\pi\)
\(24\) 2.76673 + 3.46937i 0.564756 + 0.708182i
\(25\) 1.22164 + 1.53189i 0.244328 + 0.306377i
\(26\) 0.157149 + 0.688516i 0.0308195 + 0.135029i
\(27\) 1.10990 + 4.86280i 0.213601 + 0.935846i
\(28\) 2.64758 + 2.96084i 0.500346 + 0.559546i
\(29\) 1.37086 6.00614i 0.254563 1.11531i −0.672408 0.740181i \(-0.734740\pi\)
0.926971 0.375133i \(-0.122403\pi\)
\(30\) 3.34348 0.610433
\(31\) −3.96261 −0.711705 −0.355853 0.934542i \(-0.615810\pi\)
−0.355853 + 0.934542i \(0.615810\pi\)
\(32\) 1.29786 5.68628i 0.229431 1.00520i
\(33\) −7.66631 + 3.69190i −1.33453 + 0.642677i
\(34\) 2.85159 + 3.57578i 0.489044 + 0.613242i
\(35\) 6.96855 0.393460i 1.17790 0.0665070i
\(36\) −0.206547 + 0.259001i −0.0344244 + 0.0431669i
\(37\) 1.84443 8.08099i 0.303223 1.32851i −0.562008 0.827132i \(-0.689971\pi\)
0.865231 0.501374i \(-0.167172\pi\)
\(38\) 1.01440 1.27201i 0.164557 0.206348i
\(39\) −1.61690 + 0.778657i −0.258911 + 0.124685i
\(40\) −4.06704 5.09991i −0.643055 0.806366i
\(41\) 6.82774 + 3.28807i 1.06631 + 0.513510i 0.882917 0.469529i \(-0.155576\pi\)
0.183397 + 0.983039i \(0.441291\pi\)
\(42\) 1.93959 2.73535i 0.299285 0.422073i
\(43\) 8.94953 4.30987i 1.36479 0.657248i 0.399091 0.916911i \(-0.369326\pi\)
0.965699 + 0.259663i \(0.0836114\pi\)
\(44\) 6.41308 + 3.08838i 0.966808 + 0.465590i
\(45\) 0.129536 + 0.567535i 0.0193101 + 0.0846031i
\(46\) −4.69747 2.26218i −0.692604 0.333540i
\(47\) −1.41084 + 1.76914i −0.205793 + 0.258056i −0.874007 0.485913i \(-0.838487\pi\)
0.668215 + 0.743968i \(0.267059\pi\)
\(48\) 2.25450 0.325409
\(49\) 3.72064 5.92932i 0.531520 0.847046i
\(50\) −1.38374 −0.195691
\(51\) −7.24635 + 9.08663i −1.01469 + 1.27238i
\(52\) 1.35258 + 0.651368i 0.187569 + 0.0903285i
\(53\) 2.76595 + 12.1184i 0.379932 + 1.66459i 0.697674 + 0.716415i \(0.254218\pi\)
−0.317742 + 0.948177i \(0.602925\pi\)
\(54\) −3.17369 1.52837i −0.431885 0.207985i
\(55\) 11.2693 5.42702i 1.51956 0.731780i
\(56\) −6.53164 + 0.368792i −0.872827 + 0.0492818i
\(57\) 3.72494 + 1.79384i 0.493381 + 0.237600i
\(58\) 2.71265 + 3.40156i 0.356189 + 0.446646i
\(59\) −6.41320 + 3.08843i −0.834927 + 0.402080i −0.801961 0.597377i \(-0.796210\pi\)
−0.0329666 + 0.999456i \(0.510496\pi\)
\(60\) 4.43139 5.55679i 0.572090 0.717378i
\(61\) −0.312745 + 1.37022i −0.0400429 + 0.175439i −0.990995 0.133899i \(-0.957250\pi\)
0.950952 + 0.309338i \(0.100107\pi\)
\(62\) 1.74482 2.18794i 0.221593 0.277869i
\(63\) 0.539454 + 0.223258i 0.0679648 + 0.0281279i
\(64\) 1.00166 + 1.25605i 0.125208 + 0.157006i
\(65\) 2.37681 1.14461i 0.294807 0.141972i
\(66\) 1.33718 5.85855i 0.164595 0.721138i
\(67\) −2.39670 −0.292804 −0.146402 0.989225i \(-0.546769\pi\)
−0.146402 + 0.989225i \(0.546769\pi\)
\(68\) 9.72232 1.17900
\(69\) 2.94820 12.9169i 0.354921 1.55501i
\(70\) −2.85116 + 4.02091i −0.340779 + 0.480591i
\(71\) 3.32061 + 14.5485i 0.394084 + 1.72659i 0.650034 + 0.759905i \(0.274755\pi\)
−0.255950 + 0.966690i \(0.582388\pi\)
\(72\) −0.121415 0.531952i −0.0143088 0.0626911i
\(73\) 6.12664 + 7.68256i 0.717069 + 0.899176i 0.998168 0.0605028i \(-0.0192704\pi\)
−0.281099 + 0.959679i \(0.590699\pi\)
\(74\) 3.64974 + 4.57663i 0.424274 + 0.532023i
\(75\) −0.782451 3.42814i −0.0903497 0.395848i
\(76\) −0.769593 3.37181i −0.0882784 0.386773i
\(77\) 2.09754 12.3679i 0.239036 1.40945i
\(78\) 0.282023 1.23562i 0.0319329 0.139907i
\(79\) 0.0239945 0.00269960 0.00134980 0.999999i \(-0.499570\pi\)
0.00134980 + 0.999999i \(0.499570\pi\)
\(80\) −3.31407 −0.370524
\(81\) 2.13916 9.37228i 0.237685 1.04136i
\(82\) −4.82190 + 2.32211i −0.532490 + 0.256434i
\(83\) 0.335171 + 0.420292i 0.0367898 + 0.0461330i 0.799886 0.600152i \(-0.204893\pi\)
−0.763096 + 0.646285i \(0.776322\pi\)
\(84\) −1.97539 6.84894i −0.215533 0.747280i
\(85\) 10.6520 13.3572i 1.15537 1.44879i
\(86\) −1.56100 + 6.83918i −0.168327 + 0.737488i
\(87\) −6.89327 + 8.64389i −0.739036 + 0.926722i
\(88\) −10.5628 + 5.08676i −1.12600 + 0.542251i
\(89\) −10.5227 13.1950i −1.11540 1.39867i −0.907258 0.420574i \(-0.861829\pi\)
−0.208145 0.978098i \(-0.566743\pi\)
\(90\) −0.370400 0.178375i −0.0390436 0.0188024i
\(91\) 0.442391 2.60850i 0.0463751 0.273445i
\(92\) −9.98563 + 4.80883i −1.04107 + 0.501355i
\(93\) 6.40713 + 3.08551i 0.664389 + 0.319953i
\(94\) −0.355600 1.55798i −0.0366773 0.160694i
\(95\) −5.47560 2.63691i −0.561784 0.270541i
\(96\) −6.52616 + 8.18355i −0.666074 + 0.835230i
\(97\) −7.33725 −0.744985 −0.372493 0.928035i \(-0.621497\pi\)
−0.372493 + 0.928035i \(0.621497\pi\)
\(98\) 1.63558 + 4.66515i 0.165218 + 0.471251i
\(99\) 1.04626 0.105153
\(100\) −1.83399 + 2.29975i −0.183399 + 0.229975i
\(101\) −5.20183 2.50507i −0.517602 0.249264i 0.156798 0.987631i \(-0.449883\pi\)
−0.674399 + 0.738367i \(0.735597\pi\)
\(102\) −1.82643 8.00209i −0.180843 0.792325i
\(103\) −4.18541 2.01559i −0.412400 0.198602i 0.216167 0.976356i \(-0.430644\pi\)
−0.628568 + 0.777755i \(0.716359\pi\)
\(104\) −2.22779 + 1.07285i −0.218453 + 0.105201i
\(105\) −11.5738 4.78993i −1.12949 0.467449i
\(106\) −7.90905 3.80880i −0.768195 0.369943i
\(107\) 11.2162 + 14.0646i 1.08431 + 1.35968i 0.928261 + 0.371930i \(0.121304\pi\)
0.156047 + 0.987750i \(0.450125\pi\)
\(108\) −6.74647 + 3.24893i −0.649179 + 0.312628i
\(109\) −5.74657 + 7.20597i −0.550422 + 0.690207i −0.976755 0.214359i \(-0.931234\pi\)
0.426333 + 0.904566i \(0.359805\pi\)
\(110\) −1.96562 + 8.61196i −0.187415 + 0.821118i
\(111\) −9.27457 + 11.6299i −0.880304 + 1.10387i
\(112\) −1.92253 + 2.71129i −0.181662 + 0.256193i
\(113\) 4.98814 + 6.25493i 0.469245 + 0.588415i 0.958986 0.283453i \(-0.0914801\pi\)
−0.489741 + 0.871868i \(0.662909\pi\)
\(114\) −2.63064 + 1.26685i −0.246382 + 0.118651i
\(115\) −4.33379 + 18.9876i −0.404128 + 1.77060i
\(116\) 9.24861 0.858712
\(117\) 0.220666 0.0204006
\(118\) 1.11861 4.90093i 0.102976 0.451167i
\(119\) −4.74836 16.4632i −0.435281 1.50918i
\(120\) 2.60491 + 11.4129i 0.237795 + 1.04185i
\(121\) −2.55467 11.1927i −0.232242 1.01752i
\(122\) −0.618856 0.776021i −0.0560286 0.0702576i
\(123\) −8.47949 10.6329i −0.764569 0.958740i
\(124\) −1.32375 5.79972i −0.118876 0.520830i
\(125\) −1.78493 7.82028i −0.159649 0.699467i
\(126\) −0.360805 + 0.199552i −0.0321430 + 0.0177775i
\(127\) 1.87095 8.19719i 0.166020 0.727383i −0.821541 0.570149i \(-0.806885\pi\)
0.987561 0.157233i \(-0.0502575\pi\)
\(128\) 10.5305 0.930769
\(129\) −17.8264 −1.56953
\(130\) −0.414569 + 1.81635i −0.0363601 + 0.159304i
\(131\) −9.02871 + 4.34800i −0.788842 + 0.379886i −0.784519 0.620104i \(-0.787090\pi\)
−0.00432290 + 0.999991i \(0.501376\pi\)
\(132\) −7.96451 9.98718i −0.693222 0.869272i
\(133\) −5.33375 + 2.94996i −0.462494 + 0.255794i
\(134\) 1.05532 1.32333i 0.0911659 0.114318i
\(135\) −2.92799 + 12.8283i −0.252001 + 1.10409i
\(136\) −9.98414 + 12.5197i −0.856133 + 1.07356i
\(137\) 3.83501 1.84684i 0.327647 0.157787i −0.262827 0.964843i \(-0.584655\pi\)
0.590474 + 0.807056i \(0.298941\pi\)
\(138\) 5.83386 + 7.31543i 0.496611 + 0.622731i
\(139\) 2.61039 + 1.25710i 0.221410 + 0.106626i 0.541301 0.840829i \(-0.317932\pi\)
−0.319891 + 0.947454i \(0.603646\pi\)
\(140\) 2.90378 + 10.0678i 0.245415 + 0.850885i
\(141\) 3.65874 1.76196i 0.308122 0.148384i
\(142\) −9.49507 4.57259i −0.796809 0.383723i
\(143\) −1.05505 4.62249i −0.0882280 0.386552i
\(144\) −0.249760 0.120278i −0.0208133 0.0100232i
\(145\) 10.1330 12.7064i 0.841498 1.05521i
\(146\) −6.93960 −0.574325
\(147\) −10.6328 + 6.69001i −0.876979 + 0.551783i
\(148\) 12.4436 1.02286
\(149\) −2.11621 + 2.65364i −0.173366 + 0.217394i −0.860922 0.508737i \(-0.830112\pi\)
0.687555 + 0.726132i \(0.258684\pi\)
\(150\) 2.23737 + 1.07746i 0.182680 + 0.0879742i
\(151\) −2.02810 8.88567i −0.165044 0.723106i −0.987930 0.154899i \(-0.950495\pi\)
0.822886 0.568206i \(-0.192362\pi\)
\(152\) 5.13229 + 2.47158i 0.416284 + 0.200472i
\(153\) 1.28754 0.620049i 0.104092 0.0501280i
\(154\) 5.90529 + 6.60400i 0.475862 + 0.532165i
\(155\) −9.41836 4.53564i −0.756501 0.364312i
\(156\) −1.67979 2.10639i −0.134491 0.168646i
\(157\) −5.61952 + 2.70622i −0.448486 + 0.215980i −0.644473 0.764627i \(-0.722923\pi\)
0.195987 + 0.980607i \(0.437209\pi\)
\(158\) −0.0105653 + 0.0132485i −0.000840533 + 0.00105399i
\(159\) 4.96383 21.7480i 0.393657 1.72473i
\(160\) 9.59334 12.0297i 0.758420 0.951029i
\(161\) 13.0199 + 14.5604i 1.02611 + 1.14752i
\(162\) 4.23295 + 5.30795i 0.332572 + 0.417032i
\(163\) 0.597554 0.287767i 0.0468041 0.0225397i −0.410335 0.911935i \(-0.634588\pi\)
0.457139 + 0.889395i \(0.348874\pi\)
\(164\) −2.53158 + 11.0916i −0.197683 + 0.866106i
\(165\) −22.4471 −1.74751
\(166\) −0.379646 −0.0294662
\(167\) 0.480746 2.10629i 0.0372013 0.162989i −0.952915 0.303237i \(-0.901933\pi\)
0.990116 + 0.140247i \(0.0447898\pi\)
\(168\) 10.8482 + 4.48961i 0.836954 + 0.346381i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) 2.68481 + 11.7629i 0.205916 + 0.902175i
\(171\) −0.316958 0.397453i −0.0242384 0.0303940i
\(172\) 9.29764 + 11.6589i 0.708939 + 0.888981i
\(173\) 1.37436 + 6.02146i 0.104490 + 0.457803i 0.999921 + 0.0126007i \(0.00401102\pi\)
−0.895430 + 0.445202i \(0.853132\pi\)
\(174\) −1.73743 7.61220i −0.131715 0.577079i
\(175\) 4.78997 + 1.98237i 0.362087 + 0.149853i
\(176\) −1.32541 + 5.80702i −0.0999069 + 0.437721i
\(177\) 12.7743 0.960177
\(178\) 11.9190 0.893365
\(179\) −4.93777 + 21.6338i −0.369067 + 1.61699i 0.360282 + 0.932844i \(0.382681\pi\)
−0.729348 + 0.684143i \(0.760177\pi\)
\(180\) −0.787378 + 0.379181i −0.0586877 + 0.0282625i
\(181\) −10.8736 13.6350i −0.808225 1.01348i −0.999490 0.0319434i \(-0.989830\pi\)
0.191265 0.981538i \(-0.438741\pi\)
\(182\) 1.24548 + 1.39285i 0.0923213 + 0.103245i
\(183\) 1.57261 1.97199i 0.116251 0.145774i
\(184\) 4.06207 17.7971i 0.299460 1.31202i
\(185\) 13.6334 17.0958i 1.00235 1.25691i
\(186\) −4.52486 + 2.17906i −0.331779 + 0.159776i
\(187\) −19.1448 24.0068i −1.40000 1.75555i
\(188\) −3.06064 1.47393i −0.223220 0.107497i
\(189\) 8.79650 + 9.83729i 0.639851 + 0.715558i
\(190\) 3.86699 1.86224i 0.280541 0.135101i
\(191\) −14.9883 7.21799i −1.08452 0.522275i −0.195758 0.980652i \(-0.562717\pi\)
−0.888758 + 0.458377i \(0.848431\pi\)
\(192\) −0.641558 2.81085i −0.0463005 0.202856i
\(193\) 0.896308 + 0.431639i 0.0645176 + 0.0310701i 0.465864 0.884856i \(-0.345743\pi\)
−0.401347 + 0.915926i \(0.631458\pi\)
\(194\) 3.23076 4.05124i 0.231955 0.290862i
\(195\) −4.73432 −0.339032
\(196\) 9.92114 + 3.46482i 0.708653 + 0.247487i
\(197\) 21.8270 1.55511 0.777555 0.628815i \(-0.216460\pi\)
0.777555 + 0.628815i \(0.216460\pi\)
\(198\) −0.460691 + 0.577688i −0.0327399 + 0.0410545i
\(199\) −6.03350 2.90558i −0.427704 0.205971i 0.207633 0.978207i \(-0.433424\pi\)
−0.635336 + 0.772236i \(0.719138\pi\)
\(200\) −1.07807 4.72335i −0.0762314 0.333992i
\(201\) 3.87522 + 1.86621i 0.273337 + 0.131632i
\(202\) 3.67365 1.76914i 0.258477 0.124476i
\(203\) −4.51700 15.6610i −0.317031 1.09919i
\(204\) −15.7200 7.57036i −1.10062 0.530031i
\(205\) 12.4647 + 15.6302i 0.870571 + 1.09166i
\(206\) 2.95583 1.42345i 0.205942 0.0991765i
\(207\) −1.01573 + 1.27368i −0.0705980 + 0.0885271i
\(208\) −0.279543 + 1.22476i −0.0193828 + 0.0849216i
\(209\) −6.81036 + 8.53992i −0.471082 + 0.590719i
\(210\) 7.74095 4.28133i 0.534176 0.295440i
\(211\) −9.69241 12.1539i −0.667253 0.836709i 0.326858 0.945073i \(-0.394010\pi\)
−0.994111 + 0.108365i \(0.965439\pi\)
\(212\) −16.8127 + 8.09655i −1.15470 + 0.556073i
\(213\) 5.95924 26.1091i 0.408320 1.78897i
\(214\) −12.7045 −0.868460
\(215\) 26.2044 1.78713
\(216\) 2.74441 12.0240i 0.186733 0.818133i
\(217\) −9.17437 + 5.07412i −0.622797 + 0.344454i
\(218\) −1.44841 6.34590i −0.0980987 0.429798i
\(219\) −3.92407 17.1925i −0.265164 1.16176i
\(220\) 11.7077 + 14.6810i 0.789331 + 0.989790i
\(221\) −4.03781 5.06326i −0.271613 0.340592i
\(222\) −2.33764 10.2419i −0.156892 0.687388i
\(223\) 3.17884 + 13.9274i 0.212871 + 0.932649i 0.962605 + 0.270910i \(0.0873245\pi\)
−0.749734 + 0.661740i \(0.769818\pi\)
\(224\) −4.27644 14.8270i −0.285732 0.990670i
\(225\) −0.0962100 + 0.421523i −0.00641400 + 0.0281016i
\(226\) −5.65003 −0.375835
\(227\) −17.3099 −1.14890 −0.574448 0.818541i \(-0.694783\pi\)
−0.574448 + 0.818541i \(0.694783\pi\)
\(228\) −1.38113 + 6.05112i −0.0914674 + 0.400745i
\(229\) 7.49279 3.60834i 0.495138 0.238446i −0.169613 0.985511i \(-0.554252\pi\)
0.664751 + 0.747065i \(0.268538\pi\)
\(230\) −8.57566 10.7535i −0.565463 0.709068i
\(231\) −13.0218 + 18.3643i −0.856774 + 1.20828i
\(232\) −9.49767 + 11.9097i −0.623553 + 0.781910i
\(233\) −4.83704 + 21.1924i −0.316885 + 1.38836i 0.526098 + 0.850424i \(0.323654\pi\)
−0.842983 + 0.537940i \(0.819203\pi\)
\(234\) −0.0971642 + 0.121840i −0.00635182 + 0.00796493i
\(235\) −5.37828 + 2.59004i −0.350840 + 0.168956i
\(236\) −6.66266 8.35471i −0.433702 0.543845i
\(237\) −0.0387967 0.0186835i −0.00252012 0.00121363i
\(238\) 11.1809 + 4.62732i 0.724750 + 0.299945i
\(239\) 17.7463 8.54617i 1.14791 0.552806i 0.239507 0.970895i \(-0.423014\pi\)
0.908406 + 0.418089i \(0.137300\pi\)
\(240\) 5.35852 + 2.58053i 0.345891 + 0.166572i
\(241\) −5.55618 24.3432i −0.357905 1.56808i −0.758403 0.651786i \(-0.774020\pi\)
0.400498 0.916298i \(-0.368837\pi\)
\(242\) 7.30490 + 3.51786i 0.469577 + 0.226136i
\(243\) −1.42697 + 1.78937i −0.0915403 + 0.114788i
\(244\) −2.10995 −0.135076
\(245\) 15.6300 9.83419i 0.998565 0.628283i
\(246\) 9.60465 0.612370
\(247\) −1.43637 + 1.80115i −0.0913941 + 0.114605i
\(248\) 8.82786 + 4.25127i 0.560570 + 0.269956i
\(249\) −0.214675 0.940552i −0.0136045 0.0596051i
\(250\) 5.10389 + 2.45790i 0.322798 + 0.155451i
\(251\) −2.66864 + 1.28515i −0.168443 + 0.0811180i −0.516205 0.856465i \(-0.672656\pi\)
0.347762 + 0.937583i \(0.386942\pi\)
\(252\) −0.146553 + 0.864132i −0.00923197 + 0.0544352i
\(253\) 31.5374 + 15.1876i 1.98274 + 0.954837i
\(254\) 3.70223 + 4.64244i 0.232298 + 0.291293i
\(255\) −27.6238 + 13.3029i −1.72987 + 0.833063i
\(256\) −6.64012 + 8.32645i −0.415007 + 0.520403i
\(257\) 4.42607 19.3919i 0.276091 1.20963i −0.626599 0.779342i \(-0.715554\pi\)
0.902690 0.430291i \(-0.141589\pi\)
\(258\) 7.84935 9.84278i 0.488679 0.612785i
\(259\) −6.07741 21.0712i −0.377632 1.30930i
\(260\) 2.46926 + 3.09636i 0.153137 + 0.192028i
\(261\) 1.22481 0.589837i 0.0758138 0.0365100i
\(262\) 1.57481 6.89969i 0.0972921 0.426265i
\(263\) 3.19209 0.196833 0.0984163 0.995145i \(-0.468622\pi\)
0.0984163 + 0.995145i \(0.468622\pi\)
\(264\) 21.0398 1.29491
\(265\) −7.29674 + 31.9691i −0.448235 + 1.96385i
\(266\) 0.719754 4.24395i 0.0441310 0.260213i
\(267\) 6.73971 + 29.5286i 0.412464 + 1.80712i
\(268\) −0.800642 3.50784i −0.0489070 0.214276i
\(269\) 16.8781 + 21.1645i 1.02908 + 1.29042i 0.956085 + 0.293088i \(0.0946829\pi\)
0.0729907 + 0.997333i \(0.476746\pi\)
\(270\) −5.79387 7.26528i −0.352604 0.442151i
\(271\) 2.16937 + 9.50461i 0.131780 + 0.577364i 0.997097 + 0.0761399i \(0.0242596\pi\)
−0.865318 + 0.501224i \(0.832883\pi\)
\(272\) 1.81036 + 7.93171i 0.109769 + 0.480931i
\(273\) −2.74643 + 3.87321i −0.166222 + 0.234418i
\(274\) −0.668912 + 2.93070i −0.0404105 + 0.177050i
\(275\) 9.29003 0.560210
\(276\) 19.8902 1.19725
\(277\) 0.658143 2.88351i 0.0395440 0.173254i −0.951300 0.308268i \(-0.900251\pi\)
0.990844 + 0.135014i \(0.0431079\pi\)
\(278\) −1.84351 + 0.887789i −0.110567 + 0.0532460i
\(279\) −0.545188 0.683644i −0.0326395 0.0409287i
\(280\) −15.9466 6.59964i −0.952991 0.394404i
\(281\) 9.76214 12.2413i 0.582361 0.730257i −0.400153 0.916448i \(-0.631043\pi\)
0.982514 + 0.186191i \(0.0596144\pi\)
\(282\) −0.638167 + 2.79599i −0.0380023 + 0.166499i
\(283\) −5.75783 + 7.22008i −0.342267 + 0.429189i −0.922938 0.384949i \(-0.874219\pi\)
0.580671 + 0.814139i \(0.302790\pi\)
\(284\) −20.1841 + 9.72017i −1.19771 + 0.576786i
\(285\) 6.80023 + 8.52722i 0.402811 + 0.505109i
\(286\) 3.01686 + 1.45284i 0.178390 + 0.0859083i
\(287\) 20.0182 1.13027i 1.18164 0.0667180i
\(288\) 1.15958 0.558425i 0.0683290 0.0329055i
\(289\) −22.4706 10.8213i −1.32180 0.636546i
\(290\) 2.55399 + 11.1898i 0.149976 + 0.657087i
\(291\) 11.8636 + 5.71320i 0.695456 + 0.334914i
\(292\) −9.19762 + 11.5335i −0.538250 + 0.674944i
\(293\) −7.49605 −0.437924 −0.218962 0.975733i \(-0.570267\pi\)
−0.218962 + 0.975733i \(0.570267\pi\)
\(294\) 0.987993 8.81662i 0.0576209 0.514196i
\(295\) −18.7780 −1.09330
\(296\) −12.7787 + 16.0239i −0.742745 + 0.931373i
\(297\) 21.3072 + 10.2610i 1.23637 + 0.595405i
\(298\) −0.533385 2.33691i −0.0308981 0.135374i
\(299\) 6.65154 + 3.20321i 0.384669 + 0.185247i
\(300\) 4.75608 2.29041i 0.274593 0.132237i
\(301\) 15.2015 21.4382i 0.876199 1.23568i
\(302\) 5.79921 + 2.79275i 0.333707 + 0.160705i
\(303\) 6.46024 + 8.10089i 0.371131 + 0.465384i
\(304\) 2.60750 1.25571i 0.149550 0.0720196i
\(305\) −2.31171 + 2.89879i −0.132368 + 0.165984i
\(306\) −0.224577 + 0.983935i −0.0128382 + 0.0562478i
\(307\) −16.0565 + 20.1342i −0.916393 + 1.14912i 0.0720310 + 0.997402i \(0.477052\pi\)
−0.988424 + 0.151718i \(0.951519\pi\)
\(308\) 18.8025 1.06163i 1.07137 0.0604920i
\(309\) 5.19793 + 6.51799i 0.295700 + 0.370796i
\(310\) 6.65146 3.20317i 0.377777 0.181928i
\(311\) −4.31168 + 18.8907i −0.244493 + 1.07119i 0.692383 + 0.721530i \(0.256561\pi\)
−0.936876 + 0.349662i \(0.886296\pi\)
\(312\) 4.43749 0.251223
\(313\) −22.5470 −1.27443 −0.637217 0.770684i \(-0.719915\pi\)
−0.637217 + 0.770684i \(0.719915\pi\)
\(314\) 0.980170 4.29441i 0.0553142 0.242347i
\(315\) 1.02664 + 1.14811i 0.0578444 + 0.0646885i
\(316\) 0.00801561 + 0.0351187i 0.000450913 + 0.00197558i
\(317\) 2.77865 + 12.1740i 0.156064 + 0.683763i 0.991050 + 0.133491i \(0.0426187\pi\)
−0.834986 + 0.550272i \(0.814524\pi\)
\(318\) 9.82238 + 12.3169i 0.550812 + 0.690696i
\(319\) −18.2119 22.8371i −1.01967 1.27863i
\(320\) 0.943078 + 4.13190i 0.0527197 + 0.230980i
\(321\) −7.18388 31.4746i −0.400965 1.75674i
\(322\) −13.7725 + 0.777625i −0.767510 + 0.0433354i
\(323\) −3.31990 + 14.5454i −0.184724 + 0.809329i
\(324\) 14.4320 0.801777
\(325\) 1.95936 0.108686
\(326\) −0.104227 + 0.456648i −0.00577259 + 0.0252914i
\(327\) 14.9026 7.17671i 0.824116 0.396873i
\(328\) −11.6832 14.6502i −0.645096 0.808924i
\(329\) −1.00105 + 5.90256i −0.0551896 + 0.325419i
\(330\) 9.88398 12.3941i 0.544095 0.682274i
\(331\) 4.98081 21.8224i 0.273770 1.19946i −0.631754 0.775169i \(-0.717665\pi\)
0.905524 0.424296i \(-0.139478\pi\)
\(332\) −0.503176 + 0.630963i −0.0276154 + 0.0346286i
\(333\) 1.64792 0.793598i 0.0903057 0.0434889i
\(334\) 0.951296 + 1.19289i 0.0520526 + 0.0652719i
\(335\) −5.69651 2.74329i −0.311233 0.149882i
\(336\) 5.21970 2.88689i 0.284758 0.157493i
\(337\) −7.99933 + 3.85227i −0.435751 + 0.209847i −0.638882 0.769305i \(-0.720603\pi\)
0.203131 + 0.979152i \(0.434888\pi\)
\(338\) 0.636284 + 0.306418i 0.0346093 + 0.0166670i
\(339\) −3.19487 13.9976i −0.173522 0.760248i
\(340\) 23.1081 + 11.1283i 1.25321 + 0.603516i
\(341\) −11.7142 + 14.6892i −0.634362 + 0.795464i
\(342\) 0.359016 0.0194134
\(343\) 1.02166 18.4921i 0.0551642 0.998477i
\(344\) −24.5615 −1.32427
\(345\) 21.7921 27.3264i 1.17325 1.47121i
\(346\) −3.92989 1.89253i −0.211272 0.101743i
\(347\) −3.70428 16.2295i −0.198856 0.871247i −0.971619 0.236551i \(-0.923983\pi\)
0.772763 0.634695i \(-0.218874\pi\)
\(348\) −14.9541 7.20149i −0.801622 0.386041i
\(349\) 29.9643 14.4300i 1.60395 0.772423i 0.604249 0.796795i \(-0.293473\pi\)
0.999703 + 0.0243725i \(0.00775878\pi\)
\(350\) −3.20369 + 1.77188i −0.171244 + 0.0947110i
\(351\) 4.49390 + 2.16415i 0.239867 + 0.115514i
\(352\) −17.2420 21.6208i −0.919004 1.15239i
\(353\) 3.15180 1.51783i 0.167753 0.0807857i −0.348123 0.937449i \(-0.613181\pi\)
0.515876 + 0.856663i \(0.327467\pi\)
\(354\) −5.62482 + 7.05330i −0.298956 + 0.374879i
\(355\) −8.75997 + 38.3799i −0.464931 + 2.03700i
\(356\) 15.7972 19.8091i 0.837250 1.04988i
\(357\) −5.14157 + 30.3166i −0.272121 + 1.60453i
\(358\) −9.77082 12.2522i −0.516404 0.647550i
\(359\) −19.4413 + 9.36245i −1.02607 + 0.494131i −0.869707 0.493568i \(-0.835693\pi\)
−0.156367 + 0.987699i \(0.549978\pi\)
\(360\) 0.320299 1.40332i 0.0168812 0.0739615i
\(361\) −13.6927 −0.720668
\(362\) 12.3164 0.647335
\(363\) −4.58466 + 20.0867i −0.240632 + 1.05428i
\(364\) 3.96562 0.223908i 0.207855 0.0117360i
\(365\) 5.76831 + 25.2726i 0.301927 + 1.32283i
\(366\) 0.396373 + 1.73662i 0.0207187 + 0.0907748i
\(367\) −0.0788135 0.0988290i −0.00411403 0.00515883i 0.779770 0.626066i \(-0.215336\pi\)
−0.783884 + 0.620907i \(0.786764\pi\)
\(368\) −5.78255 7.25109i −0.301436 0.377989i
\(369\) 0.372112 + 1.63033i 0.0193714 + 0.0848716i
\(370\) 3.43628 + 15.0553i 0.178644 + 0.782689i
\(371\) 21.9215 + 24.5152i 1.13811 + 1.27277i
\(372\) −2.37563 + 10.4083i −0.123170 + 0.539645i
\(373\) 12.2737 0.635509 0.317754 0.948173i \(-0.397071\pi\)
0.317754 + 0.948173i \(0.397071\pi\)
\(374\) 21.6851 1.12131
\(375\) −3.20327 + 14.0344i −0.165416 + 0.724736i
\(376\) 5.04108 2.42766i 0.259974 0.125197i
\(377\) −3.84107 4.81655i −0.197825 0.248065i
\(378\) −9.30492 + 0.525377i −0.478594 + 0.0270225i
\(379\) 5.24487 6.57685i 0.269411 0.337830i −0.628661 0.777679i \(-0.716397\pi\)
0.898072 + 0.439849i \(0.144968\pi\)
\(380\) 2.03023 8.89503i 0.104149 0.456305i
\(381\) −9.40794 + 11.7972i −0.481983 + 0.604388i
\(382\) 10.5851 5.09750i 0.541579 0.260811i
\(383\) −6.12857 7.68498i −0.313155 0.392684i 0.600199 0.799851i \(-0.295088\pi\)
−0.913354 + 0.407167i \(0.866517\pi\)
\(384\) −17.0267 8.19961i −0.868889 0.418435i
\(385\) 19.1419 26.9952i 0.975559 1.37580i
\(386\) −0.632992 + 0.304833i −0.0322185 + 0.0155156i
\(387\) 1.97486 + 0.951041i 0.100388 + 0.0483441i
\(388\) −2.45108 10.7389i −0.124435 0.545184i
\(389\) 16.9323 + 8.15417i 0.858502 + 0.413433i 0.810726 0.585425i \(-0.199072\pi\)
0.0477759 + 0.998858i \(0.484787\pi\)
\(390\) 2.08463 2.61404i 0.105559 0.132367i
\(391\) 47.8112 2.41792
\(392\) −14.6501 + 9.21761i −0.739939 + 0.465560i
\(393\) 17.9841 0.907178
\(394\) −9.61092 + 12.0517i −0.484191 + 0.607156i
\(395\) 0.0570305 + 0.0274644i 0.00286951 + 0.00138189i
\(396\) 0.349513 + 1.53132i 0.0175637 + 0.0769515i
\(397\) 21.7395 + 10.4692i 1.09107 + 0.525434i 0.890841 0.454314i \(-0.150116\pi\)
0.200233 + 0.979748i \(0.435830\pi\)
\(398\) 4.26099 2.05199i 0.213584 0.102857i
\(399\) 10.9211 0.616633i 0.546741 0.0308702i
\(400\) −2.21769 1.06798i −0.110884 0.0533992i
\(401\) −3.03867 3.81037i −0.151744 0.190281i 0.700149 0.713997i \(-0.253117\pi\)
−0.851893 + 0.523716i \(0.824545\pi\)
\(402\) −2.73677 + 1.31796i −0.136498 + 0.0657338i
\(403\) −2.47065 + 3.09809i −0.123072 + 0.154327i
\(404\) 1.92873 8.45030i 0.0959577 0.420418i
\(405\) 15.8120 19.8276i 0.785704 0.985242i
\(406\) 10.6361 + 4.40186i 0.527862 + 0.218460i
\(407\) −24.5033 30.7262i −1.21458 1.52304i
\(408\) 25.8919 12.4689i 1.28184 0.617302i
\(409\) −2.97369 + 13.0286i −0.147040 + 0.644223i 0.846659 + 0.532136i \(0.178611\pi\)
−0.993698 + 0.112087i \(0.964247\pi\)
\(410\) −14.1186 −0.697270
\(411\) −7.63888 −0.376798
\(412\) 1.55186 6.79913i 0.0764545 0.334969i
\(413\) −10.8933 + 15.3626i −0.536026 + 0.755942i
\(414\) −0.256012 1.12166i −0.0125823 0.0551267i
\(415\) 0.315568 + 1.38259i 0.0154906 + 0.0678689i
\(416\) −3.63651 4.56004i −0.178295 0.223575i
\(417\) −3.24188 4.06519i −0.158756 0.199073i
\(418\) −1.71654 7.52063i −0.0839585 0.367846i
\(419\) 7.44589 + 32.6226i 0.363756 + 1.59372i 0.743572 + 0.668656i \(0.233130\pi\)
−0.379816 + 0.925062i \(0.624013\pi\)
\(420\) 3.14425 18.5397i 0.153423 0.904643i
\(421\) −6.04962 + 26.5051i −0.294840 + 1.29178i 0.582861 + 0.812572i \(0.301933\pi\)
−0.877701 + 0.479208i \(0.840924\pi\)
\(422\) 10.9785 0.534426
\(423\) −0.499327 −0.0242781
\(424\) 6.83925 29.9647i 0.332143 1.45522i
\(425\) 11.4325 5.50559i 0.554557 0.267060i
\(426\) 11.7921 + 14.7868i 0.571328 + 0.716423i
\(427\) 1.03049 + 3.57286i 0.0498691 + 0.172903i
\(428\) −16.8383 + 21.1145i −0.813909 + 1.02061i
\(429\) −1.89342 + 8.29562i −0.0914153 + 0.400516i
\(430\) −11.5384 + 14.4687i −0.556431 + 0.697743i
\(431\) −14.2114 + 6.84383i −0.684537 + 0.329655i −0.743625 0.668597i \(-0.766895\pi\)
0.0590880 + 0.998253i \(0.481181\pi\)
\(432\) −3.90679 4.89896i −0.187966 0.235701i
\(433\) 6.45330 + 3.10774i 0.310126 + 0.149349i 0.582472 0.812851i \(-0.302085\pi\)
−0.272347 + 0.962199i \(0.587800\pi\)
\(434\) 1.23802 7.29985i 0.0594269 0.350404i
\(435\) −26.2779 + 12.6548i −1.25993 + 0.606750i
\(436\) −12.4664 6.00352i −0.597034 0.287516i
\(437\) −3.78460 16.5814i −0.181042 0.793198i
\(438\) 11.2206 + 5.40357i 0.536142 + 0.258192i
\(439\) −6.74529 + 8.45833i −0.321935 + 0.403694i −0.916294 0.400506i \(-0.868834\pi\)
0.594359 + 0.804200i \(0.297406\pi\)
\(440\) −30.9281 −1.47444
\(441\) 1.53484 0.173876i 0.0730879 0.00827981i
\(442\) 4.57360 0.217544
\(443\) 23.4779 29.4403i 1.11547 1.39875i 0.208258 0.978074i \(-0.433221\pi\)
0.907210 0.420678i \(-0.138208\pi\)
\(444\) −20.1200 9.68927i −0.954852 0.459833i
\(445\) −9.90725 43.4065i −0.469649 2.05767i
\(446\) −9.08970 4.37737i −0.430410 0.207274i
\(447\) 5.48796 2.64286i 0.259572 0.125003i
\(448\) 3.92745 + 1.62541i 0.185555 + 0.0767935i
\(449\) 3.63130 + 1.74874i 0.171371 + 0.0825282i 0.517603 0.855621i \(-0.326824\pi\)
−0.346231 + 0.938149i \(0.612539\pi\)
\(450\) −0.190379 0.238728i −0.00897457 0.0112538i
\(451\) 32.3728 15.5899i 1.52438 0.734101i
\(452\) −7.48845 + 9.39022i −0.352227 + 0.441679i
\(453\) −3.63967 + 15.9464i −0.171006 + 0.749228i
\(454\) 7.62192 9.55759i 0.357715 0.448560i
\(455\) 4.03720 5.69355i 0.189267 0.266918i
\(456\) −6.37388 7.99259i −0.298484 0.374287i
\(457\) −32.1182 + 15.4673i −1.50243 + 0.723530i −0.990756 0.135653i \(-0.956687\pi\)
−0.511669 + 0.859183i \(0.670973\pi\)
\(458\) −1.30691 + 5.72595i −0.0610680 + 0.267556i
\(459\) 32.3021 1.50773
\(460\) −29.2382 −1.36324
\(461\) −3.91798 + 17.1658i −0.182478 + 0.799490i 0.797967 + 0.602701i \(0.205909\pi\)
−0.980446 + 0.196790i \(0.936948\pi\)
\(462\) −4.40600 15.2762i −0.204986 0.710712i
\(463\) −2.26668 9.93099i −0.105342 0.461532i −0.999894 0.0145686i \(-0.995362\pi\)
0.894552 0.446964i \(-0.147495\pi\)
\(464\) 1.72215 + 7.54524i 0.0799489 + 0.350279i
\(465\) 11.6968 + 14.6674i 0.542427 + 0.680182i
\(466\) −9.57148 12.0023i −0.443390 0.555994i
\(467\) 4.93245 + 21.6105i 0.228246 + 1.00001i 0.951069 + 0.308979i \(0.0999873\pi\)
−0.722822 + 0.691034i \(0.757156\pi\)
\(468\) 0.0737156 + 0.322969i 0.00340751 + 0.0149293i
\(469\) −5.54893 + 3.06898i −0.256226 + 0.141712i
\(470\) 0.938093 4.11005i 0.0432710 0.189583i
\(471\) 11.1934 0.515765
\(472\) 17.6007 0.810137
\(473\) 10.4801 45.9163i 0.481875 2.11123i
\(474\) 0.0273991 0.0131947i 0.00125848 0.000606053i
\(475\) −2.81436 3.52910i −0.129132 0.161926i
\(476\) 22.5095 12.4494i 1.03172 0.570619i
\(477\) −1.71017 + 2.14448i −0.0783031 + 0.0981890i
\(478\) −3.09535 + 13.5616i −0.141578 + 0.620295i
\(479\) 12.5242 15.7048i 0.572244 0.717571i −0.408524 0.912747i \(-0.633956\pi\)
0.980768 + 0.195176i \(0.0625279\pi\)
\(480\) −24.8784 + 11.9808i −1.13554 + 0.546847i
\(481\) −5.16798 6.48045i −0.235640 0.295483i
\(482\) 15.8875 + 7.65103i 0.723657 + 0.348495i
\(483\) −9.71431 33.6808i −0.442017 1.53253i
\(484\) 15.5284 7.47808i 0.705836 0.339913i
\(485\) −17.4393 8.39830i −0.791876 0.381347i
\(486\) −0.359665 1.57580i −0.0163147 0.0714795i
\(487\) 12.9754 + 6.24863i 0.587972 + 0.283152i 0.704122 0.710079i \(-0.251341\pi\)
−0.116150 + 0.993232i \(0.537055\pi\)
\(488\) 2.16677 2.71704i 0.0980851 0.122995i
\(489\) −1.19026 −0.0538252
\(490\) −1.45233 + 12.9603i −0.0656096 + 0.585485i
\(491\) 17.5388 0.791513 0.395757 0.918355i \(-0.370482\pi\)
0.395757 + 0.918355i \(0.370482\pi\)
\(492\) 12.7298 15.9627i 0.573905 0.719654i
\(493\) −35.9460 17.3107i −1.61892 0.779633i
\(494\) −0.362034 1.58617i −0.0162887 0.0713653i
\(495\) 2.48676 + 1.19756i 0.111771 + 0.0538263i
\(496\) 4.48506 2.15989i 0.201385 0.0969820i
\(497\) 26.3174 + 29.4313i 1.18050 + 1.32017i
\(498\) 0.613849 + 0.295614i 0.0275072 + 0.0132468i
\(499\) −6.52734 8.18502i −0.292204 0.366412i 0.613961 0.789336i \(-0.289575\pi\)
−0.906165 + 0.422924i \(0.861004\pi\)
\(500\) 10.8496 5.22488i 0.485208 0.233664i
\(501\) −2.41739 + 3.03131i −0.108001 + 0.135429i
\(502\) 0.465471 2.03936i 0.0207750 0.0910212i
\(503\) −9.32555 + 11.6939i −0.415806 + 0.521404i −0.944988 0.327104i \(-0.893927\pi\)
0.529182 + 0.848508i \(0.322499\pi\)
\(504\) −0.962268 1.07612i −0.0428628 0.0479343i
\(505\) −9.49643 11.9081i −0.422586 0.529906i
\(506\) −22.2724 + 10.7258i −0.990130 + 0.476821i
\(507\) −0.399341 + 1.74963i −0.0177353 + 0.0777036i
\(508\) 12.6225 0.560033
\(509\) −10.8048 −0.478913 −0.239456 0.970907i \(-0.576969\pi\)
−0.239456 + 0.970907i \(0.576969\pi\)
\(510\) 4.81822 21.1100i 0.213354 0.934766i
\(511\) 24.0221 + 9.94178i 1.06268 + 0.439799i
\(512\) 3.01287 + 13.2002i 0.133151 + 0.583373i
\(513\) −2.55695 11.2027i −0.112892 0.494612i
\(514\) 8.75827 + 10.9825i 0.386311 + 0.484418i
\(515\) −7.64085 9.58133i −0.336696 0.422204i
\(516\) −5.95508 26.0909i −0.262158 1.14859i
\(517\) 2.38739 + 10.4598i 0.104997 + 0.460024i
\(518\) 14.3104 + 5.92249i 0.628763 + 0.260219i
\(519\) 2.46645 10.8062i 0.108265 0.474341i
\(520\) −6.52302 −0.286054
\(521\) −6.46678 −0.283315 −0.141657 0.989916i \(-0.545243\pi\)
−0.141657 + 0.989916i \(0.545243\pi\)
\(522\) −0.213634 + 0.935993i −0.00935052 + 0.0409673i
\(523\) −31.6033 + 15.2194i −1.38192 + 0.665496i −0.969407 0.245457i \(-0.921062\pi\)
−0.412510 + 0.910953i \(0.635348\pi\)
\(524\) −9.37991 11.7620i −0.409763 0.513827i
\(525\) −6.20130 6.93503i −0.270647 0.302670i
\(526\) −1.40555 + 1.76250i −0.0612848 + 0.0768487i
\(527\) −5.71043 + 25.0190i −0.248750 + 1.08985i
\(528\) 6.66474 8.35732i 0.290046 0.363706i
\(529\) −28.3838 + 13.6689i −1.23408 + 0.594300i
\(530\) −14.4387 18.1056i −0.627178 0.786456i
\(531\) −1.41518 0.681513i −0.0614134 0.0295751i
\(532\) −6.09939 6.82107i −0.264442 0.295731i
\(533\) 6.82774 3.28807i 0.295742 0.142422i
\(534\) −19.2718 9.28080i −0.833971 0.401619i
\(535\) 10.5602 + 46.2671i 0.456556 + 2.00030i
\(536\) 5.33935 + 2.57130i 0.230625 + 0.111063i
\(537\) 24.8292 31.1348i 1.07146 1.34357i
\(538\) −19.1177 −0.824222
\(539\) −10.9808 31.3204i −0.472976 1.34907i
\(540\) −19.7538 −0.850069
\(541\) 6.41644 8.04597i 0.275864 0.345923i −0.624527 0.781003i \(-0.714708\pi\)
0.900392 + 0.435080i \(0.143280\pi\)
\(542\) −6.20316 2.98728i −0.266448 0.128315i
\(543\) 6.96443 + 30.5132i 0.298872 + 1.30945i
\(544\) −34.0316 16.3888i −1.45909 0.702662i
\(545\) −21.9065 + 10.5496i −0.938373 + 0.451897i
\(546\) −0.929268 3.22189i −0.0397690 0.137884i
\(547\) −21.9887 10.5892i −0.940167 0.452761i −0.0999388 0.994994i \(-0.531865\pi\)
−0.840228 + 0.542233i \(0.817579\pi\)
\(548\) 3.98418 + 4.99601i 0.170196 + 0.213419i
\(549\) −0.279424 + 0.134564i −0.0119255 + 0.00574304i
\(550\) −4.09061 + 5.12946i −0.174424 + 0.218721i
\(551\) −3.15814 + 13.8367i −0.134541 + 0.589464i
\(552\) −20.4258 + 25.6132i −0.869380 + 1.09017i
\(553\) 0.0555530 0.0307250i 0.00236236 0.00130656i
\(554\) 1.30233 + 1.63307i 0.0553306 + 0.0693824i
\(555\) −35.3557 + 17.0264i −1.50076 + 0.722730i
\(556\) −0.967875 + 4.24054i −0.0410470 + 0.179839i
\(557\) 10.1384 0.429579 0.214790 0.976660i \(-0.431093\pi\)
0.214790 + 0.976660i \(0.431093\pi\)
\(558\) 0.617530 0.0261421
\(559\) 2.21035 9.68418i 0.0934879 0.409597i
\(560\) −7.67286 + 4.24367i −0.324237 + 0.179328i
\(561\) 12.2621 + 53.7237i 0.517706 + 2.26822i
\(562\) 2.46053 + 10.7803i 0.103791 + 0.454738i
\(563\) 5.12679 + 6.42879i 0.216068 + 0.270941i 0.878040 0.478588i \(-0.158851\pi\)
−0.661971 + 0.749529i \(0.730280\pi\)
\(564\) 3.80106 + 4.76638i 0.160053 + 0.200701i
\(565\) 4.69640 + 20.5763i 0.197579 + 0.865650i
\(566\) −1.45125 6.35833i −0.0610005 0.267260i
\(567\) −7.04854 24.4382i −0.296011 1.02631i
\(568\) 8.21074 35.9736i 0.344515 1.50942i
\(569\) −38.7449 −1.62427 −0.812136 0.583468i \(-0.801695\pi\)
−0.812136 + 0.583468i \(0.801695\pi\)
\(570\) −7.70257 −0.322625
\(571\) −5.78609 + 25.3505i −0.242141 + 1.06089i 0.696924 + 0.717145i \(0.254552\pi\)
−0.939064 + 0.343742i \(0.888306\pi\)
\(572\) 6.41308 3.08838i 0.268144 0.129131i
\(573\) 18.6142 + 23.3415i 0.777621 + 0.975105i
\(574\) −8.19038 + 11.5507i −0.341860 + 0.482116i
\(575\) −9.01894 + 11.3094i −0.376116 + 0.471634i
\(576\) −0.0788858 + 0.345621i −0.00328691 + 0.0144009i
\(577\) −2.28652 + 2.86721i −0.0951891 + 0.119363i −0.827145 0.561989i \(-0.810036\pi\)
0.731956 + 0.681352i \(0.238608\pi\)
\(578\) 15.8693 7.64223i 0.660074 0.317875i
\(579\) −1.11314 1.39583i −0.0462605 0.0580088i
\(580\) 21.9822 + 10.5861i 0.912760 + 0.439562i
\(581\) 1.31418 + 0.543887i 0.0545216 + 0.0225642i
\(582\) −8.37833 + 4.03479i −0.347293 + 0.167247i
\(583\) 53.0990 + 25.5712i 2.19914 + 1.05905i
\(584\) −5.40665 23.6881i −0.223729 0.980220i
\(585\) 0.524481 + 0.252577i 0.0216846 + 0.0104428i
\(586\) 3.30068 4.13892i 0.136350 0.170977i
\(587\) 24.4597 1.00956 0.504781 0.863248i \(-0.331573\pi\)
0.504781 + 0.863248i \(0.331573\pi\)
\(588\) −13.3436 13.3274i −0.550279 0.549614i
\(589\) 9.12889 0.376150
\(590\) 8.26838 10.3682i 0.340404 0.426853i
\(591\) −35.2921 16.9958i −1.45172 0.699112i
\(592\) 2.31707 + 10.1518i 0.0952312 + 0.417235i
\(593\) 0.110079 + 0.0530113i 0.00452040 + 0.00217691i 0.436143 0.899878i \(-0.356344\pi\)
−0.431622 + 0.902054i \(0.642059\pi\)
\(594\) −15.0476 + 7.24656i −0.617412 + 0.297330i
\(595\) 7.55801 44.5649i 0.309848 1.82698i
\(596\) −4.59083 2.21083i −0.188048 0.0905590i
\(597\) 7.49311 + 9.39606i 0.306672 + 0.384555i
\(598\) −4.69747 + 2.26218i −0.192094 + 0.0925074i
\(599\) −14.4780 + 18.1548i −0.591554 + 0.741786i −0.984035 0.177975i \(-0.943046\pi\)
0.392481 + 0.919760i \(0.371617\pi\)
\(600\) −1.93474 + 8.47663i −0.0789853 + 0.346057i
\(601\) −27.7844 + 34.8406i −1.13335 + 1.42118i −0.240599 + 0.970625i \(0.577344\pi\)
−0.892751 + 0.450551i \(0.851227\pi\)
\(602\) 5.14350 + 17.8332i 0.209633 + 0.726826i
\(603\) −0.329746 0.413488i −0.0134283 0.0168385i
\(604\) 12.3277 5.93669i 0.501605 0.241560i
\(605\) 6.73936 29.5271i 0.273994 1.20045i
\(606\) −7.31746 −0.297252
\(607\) −9.43316 −0.382880 −0.191440 0.981504i \(-0.561316\pi\)
−0.191440 + 0.981504i \(0.561316\pi\)
\(608\) −2.98995 + 13.0998i −0.121258 + 0.531268i
\(609\) −4.89105 + 28.8395i −0.198195 + 1.16864i
\(610\) −0.582661 2.55280i −0.0235912 0.103360i
\(611\) 0.503524 + 2.20608i 0.0203704 + 0.0892485i
\(612\) 1.33763 + 1.67733i 0.0540704 + 0.0678021i
\(613\) 29.2923 + 36.7314i 1.18311 + 1.48357i 0.838570 + 0.544794i \(0.183392\pi\)
0.344535 + 0.938773i \(0.388036\pi\)
\(614\) −4.04700 17.7311i −0.163324 0.715568i
\(615\) −7.98354 34.9782i −0.321927 1.41046i
\(616\) −17.9417 + 25.3027i −0.722892 + 1.01947i
\(617\) 5.99353 26.2594i 0.241290 1.05716i −0.698553 0.715558i \(-0.746173\pi\)
0.939844 0.341605i \(-0.110970\pi\)
\(618\) −5.88765 −0.236836
\(619\) 1.45696 0.0585603 0.0292801 0.999571i \(-0.490679\pi\)
0.0292801 + 0.999571i \(0.490679\pi\)
\(620\) 3.49212 15.3000i 0.140247 0.614463i
\(621\) −33.1769 + 15.9772i −1.33134 + 0.641141i
\(622\) −8.53190 10.6987i −0.342098 0.428977i
\(623\) −41.2588 17.0753i −1.65300 0.684109i
\(624\) 1.40566 1.76264i 0.0562713 0.0705620i
\(625\) 6.88874 30.1815i 0.275550 1.20726i
\(626\) 9.92797 12.4493i 0.396801 0.497573i
\(627\) 17.6613 8.50525i 0.705326 0.339667i
\(628\) −5.83810 7.32075i −0.232966 0.292130i
\(629\) −48.3636 23.2907i −1.92838 0.928660i
\(630\) −1.08597 + 0.0613166i −0.0432662 + 0.00244291i
\(631\) 5.94284 2.86192i 0.236581 0.113931i −0.311838 0.950135i \(-0.600944\pi\)
0.548418 + 0.836204i \(0.315230\pi\)
\(632\) −0.0534548 0.0257425i −0.00212632 0.00102398i
\(633\) 6.20792 + 27.1987i 0.246743 + 1.08105i
\(634\) −7.94536 3.82628i −0.315551 0.151961i
\(635\) 13.8295 17.3416i 0.548807 0.688182i
\(636\) 33.4888 1.32792
\(637\) −2.31595 6.60578i −0.0917613 0.261731i
\(638\) 20.6285 0.816691
\(639\) −2.05311 + 2.57452i −0.0812197 + 0.101846i
\(640\) 25.0289 + 12.0533i 0.989353 + 0.476447i
\(641\) 9.34104 + 40.9258i 0.368949 + 1.61647i 0.729671 + 0.683798i \(0.239673\pi\)
−0.360722 + 0.932673i \(0.617470\pi\)
\(642\) 20.5418 + 9.89242i 0.810721 + 0.390423i
\(643\) −31.4516 + 15.1463i −1.24033 + 0.597311i −0.934902 0.354905i \(-0.884513\pi\)
−0.305426 + 0.952216i \(0.598799\pi\)
\(644\) −16.9614 + 23.9202i −0.668372 + 0.942587i
\(645\) −42.3699 20.4043i −1.66831 0.803418i
\(646\) −6.56938 8.23775i −0.258469 0.324110i
\(647\) 11.8885 5.72520i 0.467385 0.225081i −0.185342 0.982674i \(-0.559339\pi\)
0.652727 + 0.757593i \(0.273625\pi\)
\(648\) −14.8206 + 18.5845i −0.582209 + 0.730067i
\(649\) −7.50999 + 32.9034i −0.294793 + 1.29157i
\(650\) −0.862749 + 1.08185i −0.0338398 + 0.0424337i
\(651\) 18.7850 1.06065i 0.736243 0.0415700i
\(652\) 0.620798 + 0.778456i 0.0243123 + 0.0304867i
\(653\) 8.42603 4.05776i 0.329736 0.158793i −0.261690 0.965152i \(-0.584280\pi\)
0.591426 + 0.806360i \(0.298565\pi\)
\(654\) −2.59935 + 11.3885i −0.101643 + 0.445325i
\(655\) −26.4363 −1.03295
\(656\) −9.52017 −0.371700
\(657\) −0.482502 + 2.11398i −0.0188242 + 0.0824742i
\(658\) −2.81830 3.15176i −0.109869 0.122868i
\(659\) −2.53758 11.1179i −0.0988502 0.433091i 0.901150 0.433508i \(-0.142724\pi\)
−1.00000 0.000416933i \(0.999867\pi\)
\(660\) −7.49868 32.8539i −0.291886 1.27884i
\(661\) −6.33246 7.94065i −0.246304 0.308856i 0.643276 0.765634i \(-0.277575\pi\)
−0.889580 + 0.456778i \(0.849003\pi\)
\(662\) 9.85598 + 12.3590i 0.383063 + 0.480346i
\(663\) 2.58619 + 11.3308i 0.100439 + 0.440054i
\(664\) −0.295783 1.29591i −0.0114786 0.0502910i
\(665\) −16.0539 + 0.906438i −0.622542 + 0.0351502i
\(666\) −0.287435 + 1.25933i −0.0111379 + 0.0487982i
\(667\) 45.4816 1.76106
\(668\) 3.24338 0.125490
\(669\) 5.70482 24.9945i 0.220561 0.966341i
\(670\) 4.02300 1.93737i 0.155422 0.0748473i
\(671\) 4.15482 + 5.20998i 0.160395 + 0.201129i
\(672\) −4.63057 + 27.3036i −0.178628 + 1.05326i
\(673\) 5.60126 7.02376i 0.215913 0.270746i −0.662066 0.749445i \(-0.730320\pi\)
0.877979 + 0.478700i \(0.158892\pi\)
\(674\) 1.39526 6.11305i 0.0537435 0.235466i
\(675\) −6.09336 + 7.64083i −0.234533 + 0.294096i
\(676\) 1.35258 0.651368i 0.0520223 0.0250526i
\(677\) −26.5016 33.2319i −1.01854 1.27721i −0.960319 0.278903i \(-0.910029\pi\)
−0.0582194 0.998304i \(-0.518542\pi\)
\(678\) 9.13553 + 4.39944i 0.350848 + 0.168959i
\(679\) −16.9875 + 9.39536i −0.651919 + 0.360561i
\(680\) −38.0606 + 18.3290i −1.45956 + 0.702886i
\(681\) 27.9883 + 13.4785i 1.07251 + 0.516496i
\(682\) −2.95255 12.9360i −0.113059 0.495343i
\(683\) 28.4924 + 13.7212i 1.09023 + 0.525027i 0.890574 0.454839i \(-0.150303\pi\)
0.199657 + 0.979866i \(0.436017\pi\)
\(684\) 0.475834 0.596676i 0.0181940 0.0228145i
\(685\) 11.2290 0.429038
\(686\) 9.76047 + 8.70657i 0.372656 + 0.332418i
\(687\) −14.9247 −0.569414
\(688\) −7.78031 + 9.75620i −0.296622 + 0.371952i
\(689\) 11.1991 + 5.39320i 0.426652 + 0.205465i
\(690\) 5.49265 + 24.0649i 0.209102 + 0.916134i
\(691\) 2.02541 + 0.975388i 0.0770504 + 0.0371055i 0.472012 0.881592i \(-0.343528\pi\)
−0.394962 + 0.918698i \(0.629242\pi\)
\(692\) −8.35395 + 4.02305i −0.317570 + 0.152933i
\(693\) 2.42234 1.33973i 0.0920170 0.0508923i
\(694\) 10.5922 + 5.10091i 0.402073 + 0.193628i
\(695\) 4.76551 + 5.97576i 0.180766 + 0.226673i
\(696\) 24.6303 11.8613i 0.933611 0.449603i
\(697\) 30.5994 38.3705i 1.15904 1.45339i
\(698\) −5.22645 + 22.8986i −0.197824 + 0.866723i
\(699\) 24.3226 30.4996i 0.919967 1.15360i
\(700\) −1.30129 + 7.67288i −0.0491840 + 0.290007i
\(701\) 3.53927 + 4.43810i 0.133676 + 0.167625i 0.844164 0.536085i \(-0.180097\pi\)
−0.710488 + 0.703709i \(0.751526\pi\)
\(702\) −3.17369 + 1.52837i −0.119783 + 0.0576846i
\(703\) −4.24913 + 18.6166i −0.160259 + 0.702140i
\(704\) 7.61721 0.287084
\(705\) 10.7129 0.403471
\(706\) −0.549744 + 2.40859i −0.0206899 + 0.0906483i
\(707\) −15.2512 + 0.861119i −0.573581 + 0.0323857i
\(708\) 4.26739 + 18.6966i 0.160378 + 0.702663i
\(709\) 10.6799 + 46.7917i 0.401092 + 1.75730i 0.622992 + 0.782228i \(0.285917\pi\)
−0.221901 + 0.975069i \(0.571226\pi\)
\(710\) −17.3341 21.7363i −0.650539 0.815750i
\(711\) 0.00330124 + 0.00413963i 0.000123806 + 0.000155248i
\(712\) 9.28609 + 40.6850i 0.348011 + 1.52474i
\(713\) −6.50975 28.5211i −0.243792 1.06812i
\(714\) −14.4753 16.1880i −0.541724 0.605821i
\(715\) 2.78329 12.1944i 0.104089 0.456045i
\(716\) −33.3130 −1.24496
\(717\) −35.3485 −1.32011
\(718\) 3.39100 14.8570i 0.126551 0.554457i
\(719\) 28.6014 13.7737i 1.06665 0.513673i 0.183627 0.982996i \(-0.441216\pi\)
0.883027 + 0.469323i \(0.155502\pi\)
\(720\) −0.455960 0.571756i −0.0169926 0.0213081i
\(721\) −12.2712 + 0.692858i −0.457002 + 0.0258034i
\(722\) 6.02920 7.56037i 0.224384 0.281368i
\(723\) −9.97123 + 43.6868i −0.370834 + 1.62473i
\(724\) 16.3239 20.4696i 0.606674 0.760745i
\(725\) 10.8754 5.23733i 0.403904 0.194510i
\(726\) −9.07208 11.3760i −0.336696 0.422204i
\(727\) 12.5349 + 6.03649i 0.464894 + 0.223881i 0.651642 0.758527i \(-0.274081\pi\)
−0.186748 + 0.982408i \(0.559795\pi\)
\(728\) −3.78408 + 5.33658i −0.140247 + 0.197787i
\(729\) −22.2833 + 10.7311i −0.825307 + 0.397447i
\(730\) −16.4941 7.94314i −0.610474 0.293989i
\(731\) −14.3146 62.7162i −0.529443 2.31964i
\(732\) 3.41157 + 1.64293i 0.126095 + 0.0607243i
\(733\) 11.3595 14.2444i 0.419574 0.526129i −0.526459 0.850201i \(-0.676481\pi\)
0.946033 + 0.324072i \(0.105052\pi\)
\(734\) 0.0892715 0.00329507
\(735\) −32.9296 + 3.73045i −1.21463 + 0.137600i
\(736\) 43.0594 1.58719
\(737\) −7.08512 + 8.88446i −0.260984 + 0.327263i
\(738\) −1.06403 0.512410i −0.0391675 0.0188621i
\(739\) −5.95541 26.0924i −0.219073 0.959823i −0.958165 0.286218i \(-0.907602\pi\)
0.739091 0.673605i \(-0.235255\pi\)
\(740\) 29.5760 + 14.2430i 1.08724 + 0.523585i
\(741\) 3.72494 1.79384i 0.136839 0.0658983i
\(742\) −23.1885 + 1.30928i −0.851276 + 0.0480650i
\(743\) −6.89566 3.32078i −0.252977 0.121827i 0.303098 0.952959i \(-0.401979\pi\)
−0.556075 + 0.831132i \(0.687693\pi\)
\(744\) −10.9635 13.7477i −0.401940 0.504017i
\(745\) −8.06720 + 3.88496i −0.295559 + 0.142334i
\(746\) −5.40439 + 6.77689i −0.197869 + 0.248119i
\(747\) −0.0263964 + 0.115650i −0.000965792 + 0.00423141i
\(748\) 28.7411 36.0402i 1.05088 1.31776i
\(749\) 43.9778 + 18.2006i 1.60692 + 0.665037i
\(750\) −6.33860 7.94835i −0.231453 0.290233i
\(751\) −0.592195 + 0.285186i −0.0216095 + 0.0104066i −0.444657 0.895701i \(-0.646675\pi\)
0.423048 + 0.906107i \(0.360960\pi\)
\(752\) 0.632554 2.77140i 0.0230669 0.101063i
\(753\) 5.31561 0.193712
\(754\) 4.35075 0.158445
\(755\) 5.35024 23.4409i 0.194715 0.853103i
\(756\) −11.4594 + 16.1609i −0.416775 + 0.587766i
\(757\) −3.77440 16.5367i −0.137183 0.601037i −0.996047 0.0888329i \(-0.971686\pi\)
0.858864 0.512204i \(-0.171171\pi\)
\(758\) 1.32196 + 5.79187i 0.0480156 + 0.210370i
\(759\) −39.1668 49.1137i −1.42167 1.78271i
\(760\) 9.36948 + 11.7490i 0.339867 + 0.426179i
\(761\) −4.02555 17.6371i −0.145926 0.639344i −0.993992 0.109453i \(-0.965090\pi\)
0.848066 0.529891i \(-0.177767\pi\)
\(762\) −2.37125 10.3891i −0.0859013 0.376358i
\(763\) −4.07742 + 24.0420i −0.147612 + 0.870379i
\(764\) 5.55734 24.3483i 0.201057 0.880890i
\(765\) 3.76996 0.136303
\(766\) 6.94178 0.250817
\(767\) −1.58393 + 6.93965i −0.0571924 + 0.250576i
\(768\) 17.2198 8.29264i 0.621368 0.299235i
\(769\) −4.39259 5.50813i −0.158401 0.198628i 0.696298 0.717753i \(-0.254829\pi\)
−0.854698 + 0.519125i \(0.826258\pi\)
\(770\) 6.47674 + 22.4557i 0.233405 + 0.809247i
\(771\) −22.2561 + 27.9083i −0.801535 + 1.00509i
\(772\) −0.332331 + 1.45604i −0.0119609 + 0.0524040i
\(773\) −12.3322 + 15.4641i −0.443559 + 0.556205i −0.952477 0.304610i \(-0.901474\pi\)
0.508919 + 0.860815i \(0.330045\pi\)
\(774\) −1.39469 + 0.671646i −0.0501310 + 0.0241418i
\(775\) −4.84088 6.07027i −0.173889 0.218050i
\(776\) 16.3459 + 7.87175i 0.586782 + 0.282579i
\(777\) −6.58068 + 38.8022i −0.236080 + 1.39202i
\(778\) −11.9580 + 5.75866i −0.428714 + 0.206458i
\(779\) −15.7295 7.57491i −0.563567 0.271399i
\(780\) −1.58154 6.92920i −0.0566284 0.248105i
\(781\) 63.7471 + 30.6990i 2.28105 + 1.09850i
\(782\) −21.0523 + 26.3988i −0.752830 + 0.944019i
\(783\) 30.7282 1.09814
\(784\) −0.979303 + 8.73908i −0.0349751 + 0.312110i
\(785\) −16.4541 −0.587272
\(786\) −7.91880 + 9.92987i −0.282454 + 0.354187i
\(787\) 25.1000 + 12.0875i 0.894720 + 0.430874i 0.823979 0.566620i \(-0.191749\pi\)
0.0707410 + 0.997495i \(0.477464\pi\)
\(788\) 7.29152 + 31.9463i 0.259750 + 1.13804i
\(789\) −5.16128 2.48554i −0.183747 0.0884877i
\(790\) −0.0402762 + 0.0193960i −0.00143296 + 0.000690078i
\(791\) 19.5582 + 8.09433i 0.695409 + 0.287801i
\(792\) −2.33085 1.12248i −0.0828230 0.0398854i
\(793\) 0.876291 + 1.09883i 0.0311180 + 0.0390207i
\(794\) −15.3529 + 7.39358i −0.544855 + 0.262388i
\(795\) 36.6910 46.0091i 1.30130 1.63178i
\(796\) 2.23709 9.80134i 0.0792916 0.347399i
\(797\) −8.30904 + 10.4192i −0.294321 + 0.369067i −0.906903 0.421340i \(-0.861560\pi\)
0.612581 + 0.790408i \(0.290131\pi\)
\(798\) −4.46835 + 6.30158i −0.158178 + 0.223074i
\(799\) 9.13683 + 11.4572i 0.323238 + 0.405327i
\(800\) 10.2963 4.95841i 0.364028 0.175306i
\(801\) 0.828713 3.63083i 0.0292811 0.128289i
\(802\) 3.44187 0.121537
\(803\) 46.5904 1.64414
\(804\) −1.43685 + 6.29525i −0.0506738 + 0.222016i
\(805\) 14.2799 + 49.5102i 0.503299 + 1.74500i
\(806\) −0.622721 2.72832i −0.0219344 0.0961009i
\(807\) −10.8103 47.3630i −0.380541 1.66726i
\(808\) 8.90103 + 11.1615i 0.313137 + 0.392662i
\(809\) −25.4156 31.8701i −0.893564 1.12049i −0.992111 0.125361i \(-0.959991\pi\)
0.0985476 0.995132i \(-0.468580\pi\)
\(810\) 3.98538 + 17.4611i 0.140032 + 0.613520i
\(811\) 5.21651 + 22.8550i 0.183177 + 0.802549i 0.980106 + 0.198476i \(0.0635992\pi\)
−0.796929 + 0.604073i \(0.793544\pi\)
\(812\) 21.4127 11.8428i 0.751439 0.415602i
\(813\) 3.89319 17.0572i 0.136540 0.598221i
\(814\) 27.7547 0.972802
\(815\) 1.74965 0.0612877
\(816\) 3.24891 14.2344i 0.113735 0.498304i
\(817\) −20.6176 + 9.92889i −0.721317 + 0.347368i
\(818\) −5.88431 7.37870i −0.205740 0.257990i
\(819\) 0.510894 0.282563i 0.0178521 0.00987355i
\(820\) −18.7126 + 23.4649i −0.653473 + 0.819429i
\(821\) 11.3876 49.8923i 0.397430 1.74125i −0.240025 0.970767i \(-0.577156\pi\)
0.637455 0.770488i \(-0.279987\pi\)
\(822\) 3.36357 4.21778i 0.117318 0.147112i
\(823\) −29.8478 + 14.3739i −1.04043 + 0.501044i −0.874466 0.485088i \(-0.838788\pi\)
−0.165964 + 0.986132i \(0.553073\pi\)
\(824\) 7.16179 + 8.98060i 0.249493 + 0.312854i
\(825\) −15.0210 7.23375i −0.522965 0.251847i
\(826\) −3.68581 12.7792i −0.128246 0.444645i
\(827\) −17.5913 + 8.47152i −0.611709 + 0.294584i −0.713973 0.700174i \(-0.753106\pi\)
0.102263 + 0.994757i \(0.467392\pi\)
\(828\) −2.20349 1.06114i −0.0765766 0.0368773i
\(829\) −3.99469 17.5019i −0.138741 0.607865i −0.995713 0.0925012i \(-0.970514\pi\)
0.856971 0.515364i \(-0.172343\pi\)
\(830\) −0.902346 0.434547i −0.0313209 0.0150833i
\(831\) −3.30942 + 4.14988i −0.114803 + 0.143958i
\(832\) 1.60654 0.0556969
\(833\) −32.0747 32.0359i −1.11132 1.10998i
\(834\) 3.67206 0.127153
\(835\) 3.55352 4.45598i 0.122975 0.154205i
\(836\) −14.7742 7.11487i −0.510976 0.246073i
\(837\) −4.39810 19.2694i −0.152021 0.666046i
\(838\) −21.2910 10.2532i −0.735487 0.354192i
\(839\) 12.3203 5.93312i 0.425342 0.204834i −0.208952 0.977926i \(-0.567005\pi\)
0.634294 + 0.773092i \(0.281291\pi\)
\(840\) 20.6451 + 23.0879i 0.712325 + 0.796607i
\(841\) −8.06641 3.88458i −0.278152 0.133951i
\(842\) −11.9709 15.0111i −0.412545 0.517315i
\(843\) −25.3162 + 12.1916i −0.871936 + 0.419902i
\(844\) 14.5507 18.2460i 0.500857 0.628054i
\(845\) 0.587023 2.57192i 0.0201942 0.0884767i
\(846\) 0.219865 0.275702i 0.00755910 0.00947881i
\(847\) −20.2469 22.6426i −0.695693 0.778007i
\(848\) −9.73599 12.2085i −0.334335 0.419243i
\(849\) 14.9318 7.19077i 0.512458 0.246787i
\(850\) −1.99408 + 8.73664i −0.0683964 + 0.299664i
\(851\) 61.1934 2.09768
\(852\) 40.2044 1.37738
\(853\) −5.46799 + 23.9568i −0.187220 + 0.820266i 0.790853 + 0.612006i \(0.209637\pi\)
−0.978073 + 0.208260i \(0.933220\pi\)
\(854\) −2.42649 1.00423i −0.0830329 0.0343639i
\(855\) −0.298420 1.30746i −0.0102058 0.0447143i
\(856\) −9.89807 43.3663i −0.338309 1.48223i
\(857\) 10.5180 + 13.1891i 0.359288 + 0.450533i 0.928320 0.371783i \(-0.121253\pi\)
−0.569032 + 0.822315i \(0.692682\pi\)
\(858\) −3.74668 4.69819i −0.127910 0.160394i
\(859\) 6.56749 + 28.7741i 0.224080 + 0.981759i 0.954371 + 0.298623i \(0.0965272\pi\)
−0.730291 + 0.683136i \(0.760616\pi\)
\(860\) 8.75385 + 38.3531i 0.298504 + 1.30783i
\(861\) −33.2475 13.7598i −1.13307 0.468932i
\(862\) 2.47878 10.8602i 0.0844275 0.369901i
\(863\) 25.2791 0.860511 0.430256 0.902707i \(-0.358423\pi\)
0.430256 + 0.902707i \(0.358423\pi\)
\(864\) 29.0917 0.989720
\(865\) −3.62564 + 15.8850i −0.123275 + 0.540105i
\(866\) −4.55746 + 2.19476i −0.154869 + 0.0745809i
\(867\) 27.9067 + 34.9938i 0.947760 + 1.18845i
\(868\) −10.4913 11.7327i −0.356099 0.398232i
\(869\) 0.0709325 0.0889466i 0.00240622 0.00301731i
\(870\) 4.58345 20.0814i 0.155394 0.680824i
\(871\) −1.49432 + 1.87382i −0.0506331 + 0.0634919i
\(872\) 20.5331 9.88820i 0.695337 0.334857i
\(873\) −1.00948 1.26585i −0.0341658 0.0428425i
\(874\) 10.8218 + 5.21152i 0.366054 + 0.176282i
\(875\) −14.1464 15.8202i −0.478236 0.534820i
\(876\) 23.8522 11.4866i 0.805892 0.388097i
\(877\) 18.8744 + 9.08943i 0.637343 + 0.306928i 0.724509 0.689266i \(-0.242067\pi\)
−0.0871657 + 0.996194i \(0.527781\pi\)
\(878\) −1.70014 7.44878i −0.0573768 0.251384i
\(879\) 12.1204 + 5.83685i 0.408809 + 0.196872i
\(880\) −9.79704 + 12.2851i −0.330258 + 0.414131i
\(881\) −18.8381 −0.634673 −0.317336 0.948313i \(-0.602788\pi\)
−0.317336 + 0.948313i \(0.602788\pi\)
\(882\) −0.579821 + 0.924021i −0.0195236 + 0.0311134i
\(883\) 16.0394 0.539767 0.269884 0.962893i \(-0.413015\pi\)
0.269884 + 0.962893i \(0.413015\pi\)
\(884\) 6.06177 7.60122i 0.203879 0.255657i
\(885\) 30.3621 + 14.6216i 1.02061 + 0.491501i
\(886\) 5.91755 + 25.9265i 0.198804 + 0.871017i
\(887\) −21.8818 10.5377i −0.734718 0.353821i 0.0288201 0.999585i \(-0.490825\pi\)
−0.763538 + 0.645763i \(0.776539\pi\)
\(888\) 33.1390 15.9589i 1.11207 0.535545i
\(889\) −6.16480 21.3742i −0.206761 0.716867i
\(890\) 28.3291 + 13.6426i 0.949595 + 0.457301i
\(891\) −28.4188 35.6360i −0.952066 1.19385i
\(892\) −19.3224 + 9.30518i −0.646962 + 0.311561i
\(893\) 3.25024 4.07567i 0.108765 0.136387i
\(894\) −0.957224 + 4.19387i −0.0320143 + 0.140264i
\(895\) −36.4984 + 45.7676i −1.22001 + 1.52984i
\(896\) 24.3805 13.4842i 0.814495 0.450477i
\(897\) −8.26066 10.3585i −0.275815 0.345862i
\(898\) −2.56450 + 1.23500i −0.0855785 + 0.0412124i
\(899\) −5.43219 + 23.8000i −0.181174 + 0.793774i
\(900\) −0.649086 −0.0216362
\(901\) 80.4990 2.68181
\(902\) −5.64655 + 24.7391i −0.188010 + 0.823724i
\(903\) −41.2723 + 22.8267i −1.37346 + 0.759625i
\(904\) −4.40195 19.2862i −0.146407 0.641449i
\(905\) −10.2376 44.8538i −0.340309 1.49099i
\(906\) −7.20214 9.03119i −0.239275 0.300041i
\(907\) 0.902463 + 1.13165i 0.0299658 + 0.0375759i 0.796589 0.604522i \(-0.206636\pi\)
−0.766623 + 0.642098i \(0.778064\pi\)
\(908\) −5.78253 25.3349i −0.191900 0.840769i
\(909\) −0.283500 1.24209i −0.00940310 0.0411977i
\(910\) 1.36601 + 4.73612i 0.0452826 + 0.157001i
\(911\) 7.69365 33.7081i 0.254902 1.11680i −0.671720 0.740805i \(-0.734444\pi\)
0.926622 0.375994i \(-0.122699\pi\)
\(912\) −5.19382 −0.171985
\(913\) 2.54883 0.0843540
\(914\) 5.60213 24.5445i 0.185302 0.811862i
\(915\) 5.99496 2.88702i 0.198187 0.0954419i
\(916\) 7.78425 + 9.76113i 0.257199 + 0.322517i
\(917\) −15.3360 + 21.6279i −0.506439 + 0.714217i
\(918\) −14.2233 + 17.8355i −0.469440 + 0.588659i
\(919\) −3.18159 + 13.9395i −0.104951 + 0.459821i 0.894956 + 0.446155i \(0.147207\pi\)
−0.999907 + 0.0136655i \(0.995650\pi\)
\(920\) 30.0255 37.6508i 0.989913 1.24131i
\(921\) 41.6394 20.0525i 1.37206 0.660751i
\(922\) −7.75286 9.72178i −0.255327 0.320170i
\(923\) 13.4449 + 6.47471i 0.442544 + 0.213118i
\(924\) −31.2283 12.9241i −1.02734 0.425172i
\(925\) 14.6324 7.04659i 0.481110 0.231690i
\(926\) 6.48143 + 3.12129i 0.212993 + 0.102572i
\(927\) −0.228105 0.999392i −0.00749194 0.0328243i
\(928\) −32.3734 15.5902i −1.06271 0.511774i
\(929\) 4.63130 5.80746i 0.151948 0.190537i −0.700031 0.714112i \(-0.746831\pi\)
0.851979 + 0.523575i \(0.175402\pi\)
\(930\) −13.2489 −0.434449
\(931\) −8.57145 + 13.6597i −0.280918 + 0.447680i
\(932\) −32.6334 −1.06894
\(933\) 21.6809 27.1870i 0.709801 0.890062i
\(934\) −14.1040 6.79213i −0.461497 0.222245i
\(935\) −18.0250 78.9728i −0.589482 2.58269i
\(936\) −0.491598 0.236741i −0.0160684 0.00773812i
\(937\) 26.2655 12.6488i 0.858056 0.413218i 0.0474947 0.998871i \(-0.484876\pi\)
0.810562 + 0.585653i \(0.199162\pi\)
\(938\) 0.748792 4.41517i 0.0244489 0.144160i
\(939\) 36.4563 + 17.5564i 1.18971 + 0.572932i
\(940\) −5.58748 7.00648i −0.182244 0.228526i
\(941\) 10.7073 5.15637i 0.349048 0.168093i −0.251142 0.967950i \(-0.580806\pi\)
0.600190 + 0.799858i \(0.295092\pi\)
\(942\) −4.92871 + 6.18040i −0.160586 + 0.201368i
\(943\) −12.4495 + 54.5447i −0.405410 + 1.77622i
\(944\) 5.57534 6.99126i 0.181462 0.227546i
\(945\) 9.64772 + 33.4499i 0.313840 + 1.08813i
\(946\) 20.7379 + 26.0045i 0.674247 + 0.845479i
\(947\) −2.12708 + 1.02435i −0.0691208 + 0.0332868i −0.468125 0.883662i \(-0.655070\pi\)
0.399004 + 0.916949i \(0.369356\pi\)
\(948\) 0.0143850 0.0630247i 0.000467203 0.00204695i
\(949\) 9.82637 0.318977
\(950\) 3.18781 0.103426
\(951\) 4.98662 21.8478i 0.161702 0.708464i
\(952\) −7.08414 + 41.7708i −0.229598 + 1.35380i
\(953\) −6.49860 28.4722i −0.210510 0.922305i −0.964221 0.265099i \(-0.914595\pi\)
0.753711 0.657206i \(-0.228262\pi\)
\(954\) −0.431043 1.88852i −0.0139555 0.0611432i
\(955\) −27.3626 34.3116i −0.885432 1.11030i
\(956\) 18.4366 + 23.1188i 0.596282 + 0.747714i
\(957\) 11.6646 + 51.1060i 0.377064 + 1.65202i
\(958\) 3.15669 + 13.8304i 0.101988 + 0.446838i
\(959\) 6.51407 9.18662i 0.210350 0.296651i
\(960\) 1.69247 7.41519i 0.0546242 0.239324i
\(961\) −15.2977 −0.493475
\(962\) 5.85374 0.188732
\(963\) −0.883327 + 3.87011i −0.0284648 + 0.124713i
\(964\) 33.7729 16.2642i 1.08775 0.523833i
\(965\) 1.63629 + 2.05185i 0.0526741 + 0.0660513i
\(966\) 22.8742 + 9.46669i 0.735965 + 0.304586i
\(967\) −13.8191 + 17.3286i −0.444393 + 0.557251i −0.952695 0.303928i \(-0.901702\pi\)
0.508302 + 0.861179i \(0.330273\pi\)
\(968\) −6.31682 + 27.6758i −0.203030 + 0.889534i
\(969\) 16.6938 20.9334i 0.536283 0.672478i
\(970\) 12.3160 5.93107i 0.395442 0.190435i
\(971\) 18.0547 + 22.6399i 0.579403 + 0.726549i 0.982011 0.188824i \(-0.0604675\pi\)
−0.402608 + 0.915373i \(0.631896\pi\)
\(972\) −3.09563 1.49078i −0.0992924 0.0478167i
\(973\) 7.65337 0.432127i 0.245356 0.0138534i
\(974\) −9.16352 + 4.41292i −0.293618 + 0.141399i
\(975\) −3.16808 1.52567i −0.101460 0.0488605i
\(976\) −0.392887 1.72135i −0.0125760 0.0550990i
\(977\) −29.0739 14.0012i −0.930156 0.447940i −0.0934700 0.995622i \(-0.529796\pi\)
−0.836686 + 0.547682i \(0.815510\pi\)
\(978\) 0.524096 0.657196i 0.0167588 0.0210148i
\(979\) −80.0205 −2.55747
\(980\) 19.6148 + 19.5911i 0.626571 + 0.625813i
\(981\) −2.03383 −0.0649352
\(982\) −7.72271 + 9.68397i −0.246442 + 0.309028i
\(983\) 29.8334 + 14.3670i 0.951538 + 0.458236i 0.844225 0.535989i \(-0.180061\pi\)
0.107313 + 0.994225i \(0.465775\pi\)
\(984\) 7.48300 + 32.7851i 0.238549 + 1.04515i
\(985\) 51.8786 + 24.9834i 1.65299 + 0.796039i
\(986\) 25.3858 12.2252i 0.808449 0.389329i
\(987\) 6.21467 8.76437i 0.197815 0.278973i
\(988\) −3.11602 1.50060i −0.0991337 0.0477403i
\(989\) 45.7228 + 57.3345i 1.45390 + 1.82313i
\(990\) −1.75620 + 0.845743i −0.0558158 + 0.0268795i
\(991\) −10.1300 + 12.7026i −0.321791 + 0.403513i −0.916246 0.400616i \(-0.868796\pi\)
0.594455 + 0.804129i \(0.297368\pi\)
\(992\) −5.14290 + 22.5325i −0.163287 + 0.715408i
\(993\) −25.0456 + 31.4062i −0.794798 + 0.996645i
\(994\) −27.8385 + 1.57183i −0.882985 + 0.0498553i
\(995\) −11.0147 13.8120i −0.349190 0.437871i
\(996\) 1.30489 0.628401i 0.0413470 0.0199116i
\(997\) 8.33937 36.5371i 0.264110 1.15714i −0.652635 0.757672i \(-0.726337\pi\)
0.916746 0.399471i \(-0.130806\pi\)
\(998\) 7.39347 0.234036
\(999\) 41.3433 1.30804
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 637.2.w.b.92.11 174
49.8 even 7 inner 637.2.w.b.547.11 yes 174
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
637.2.w.b.92.11 174 1.1 even 1 trivial
637.2.w.b.547.11 yes 174 49.8 even 7 inner